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Finding the Third Proportional to 605,613 and 940,399.50

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Solution

The third proportional to 605,613 and 940,399.50 is: 1,460,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,613 : 940,399.50 = 940,399.50 : x
  2. Step 2: Convert to fraction form
    605,613/940,399.50 = 940,399.50/x
  3. Step 3: Cross multiply
    605,613x = 940,399.50 × 940,399.50
  4. Step 4: Simplify right side
    605,613x = 884,351,219,600.25
  5. Step 5: Solve for x
    x = 884,351,219,600.25/605,613
  6. Step 6: Final answer
    x = 1,460,257.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.